Question

Which of the following pairs of sets are disjoint?

• A. {x: x is a prime number} and {x: x is an even number}
• B. {x: x is an odd number} and {x: x is a multiple of 3}
• C. {x: x is an odd number} and {x: x is an even number}
• D. {3, 4, 5, 6, 7} and {x: x is a natural number and 7≤ x ≤ 10}

Answer 1

The correct option is C

{x: x is an odd number} and {x: x is an even number}

Two sets are disjoint if their intersection is a null set. Out of the given options, the option with sets {x: x is an odd number} and {x: x is an even number} have no elements in common. Thus, these sets are disjoint.